{
"e112-34-355-45-e5--": 0.000825673212828, # 0.0884042083136 , 1/2 
"ee12-e33-344-5-55-e-": -0.000683743203151, # 0.397368231268 , 3/2 
"e123-e24-e5-e45-55--": -0.0171089882619, # 0.216065326613 , 6 
"ee11-23-344-45-5-ee-": 0.00585300381412, # 0.44079770129 , 3/2 
"e123-e23-33--": 0.000780041692441, # 0.108037287856 , 1/4 
"e123-e24-55-445-5--": -0.000466388925547, # 0.0592911930078 , 1/4 
"e112-23-e4-444--": -8.4973939348e-05, # 0.00137561437588 , 1/6 
"ee12-234-35-ee-555--": -0.000462402268368, # 0.0129045771327 , 1/4 
"ee12-334-345-e-55-e-": -1.00890877049e-05, # 0.326557661279 , 3 
"ee12-e34-555-e44-5--": 0.000642509434698, # 0.00343909908277 , 1 
"e112-e3-e44-e44--": -0.0570809811646, # 0.576143636985 , 3/2 
"ee12-e34-335-e-555--": 0.000269890864114, # 0.00620163205626 , 1 
"ee12-e33-445-e5-55--": 0.002300320318, # 0.0102192521303 , 3/2 
"e112-23-44-e44--": -0.0119792760171, # 0.178776835757 , 1/4 
"e123-e24-34-44--": 0.000295434113545, # 0.07556634635 , 1/2 
"e112-34-335-e-555--": 0.000185077098061, # 0.00130336302638 , 1/24 
"e123-e45-445-455---": -0.000113333040469, # 0.0569055665812 , 1/8 
"ee11-23-ee4-455-55--": 0.00319153382602, # 0.0220363914842 , 3/4 
"e123-e23-45-45-55--": -0.000301711152678, # 0.0501743072316 , 1/8 
"e112-34-e35-45-55--": -0.00011916483235, # 0.080579143914 , 1/2 
"ee11-22-34-445-5-ee-": 0.0882953697853, # 0.650900199601 , 3/8 
"ee12-333-444-5-5-ee-": 0.000571931455954, # 0.000571931455954 , 1/24 
"e112-e3-344-44--": 0.000123924480113, # 0.000153078970392 , 1/8 
"ee12-334-355-5-ee5--": -0.000515028810588, # 0.339433169943 , 3/4 
"e123-e45-e45-445--e-": -0.0743240613896, # 0.188484287994 , 3/2 
"e112-e3-445-455-5--": 4.77491282235e-05, # 0.000332953807249 , 1/8 
"ee12-233-34-5-e55-e-": 0.00249972843276, # 0.374389906849 , 3 
"e112-34-e34-e4-e-": -0.0798819814927, # 0.320803195455 , 6 
"e112-33-444-55-5-e-": 0.000780866169476, # -0.000792812563117 , 1/48 
"ee12-234-35-e4-55-e-": 0.0124018887448, # 0.245142950536 , 6 
"e112-e2-34-e44-e-": -0.0478286337251, # 0.610433463541 , 3/4 
"ee12-e33-e33--": 0.0964388222337, # 0.659043652049 , 3/2 
"ee12-e33-445-55-e5--": 0.00545505697228, # 0.431264936399 , 3/2 
"e112-34-335-4-55-e-": -0.000215145317855, # 0.126460574662 , 1/8 
"ee12-e33-445-45-5-e-": 0.00711926972488, # 0.334925608046 , 3 
"ee11-22-ee-": -1.0, # 1.0 , 3/4 
"ee12-333-445-5-e5-e-": 0.00063987605969, # 0.00343646570776 , 1 
"ee12-334-455-55-ee--": -0.0042780277174, # 0.390252192115 , 3/16 
"e123-e45-444-555---": 1.65482475834e-05, # 1.65482475834e-05 , 1/72 
"ee12-233-45-45-e5-e-": 0.00469560071729, # 0.237436662509 , 3 
"ee12-233-44-e4-e-": 0.00437742922139, # 0.459172040137 , 3/2 
"ee12-234-35-45-e5-e-": -0.06112325487, # 0.201685094513 , 6 
"ee12-234-34-e4-e-": -0.0880621336637, # 0.312623043284 , 3 
"e112-e3-e44-e55-55--": 0.0391798620096, # 0.514701013833 , 3/4 
"e112-34-345-e5-55--": 0.000399459664457, # 0.085254893625 , 1/2 
"e112-e3-344-55-e5-e-": -0.000681071644668, # 0.397368067678 , 3/2 
"ee11-23-ee4-444--": -0.0126139626551, # 0.0126139626551 , 1/2 
"e112-33-e45-45-e5-e-": 0.0287034025584, # 0.269624616521 , 3 
"ee11-23-e44-555-e5--": 0.00705872983592, # 0.00555523281918 , 1/2 
"e112-22-e-": -0.0718731305361, # 0.157398369566 , 1/4 
"e123-e24-33-5-555--": 2.51069892568e-05, # 0.000588350567675 , 1/6 
"ee12-e34-e35-45-55--": -0.00281198555803, # 0.267848129766 , 3 
"e111-e-": 0.114635750051, # 0.114635750051 , 1/6 
"e123-224-4-555-e5--": 8.43969316628e-05, # -0.000431961417347 , 1/24 
"ee11-ee-": 1.0, # 1.0 , 3/2 
"e123-e24-35-45-55--": 2.41458815075e-05, # 0.050689319988 , 1 
"ee11-23-445-445--ee-": 0.00754786558904, # 0.487130178081 , 3/8 
"e123-e24-34-e4-e-": 0.262808349383, # 0.262808349383 , 3 
"e123-e24-34-55-55--": -0.000406742174651, # 0.0588715006586 , 1/4 
"ee11-22-33-44-ee-": -1.0, # 1.0 , 3/16 
"ee12-334-344-5-5-ee-": 0.00708500672712, # 0.323264002716 , 3/8 
"ee12-e34-355-45-e5--": -0.00710816016308, # 0.259070285046 , 6 
"ee11-23-334-5-e55-e-": 0.0340111885232, # 0.542459335307 , 3/4 
"ee11-22-33-44-55-ee-": 1.0, # 1.0 , 3/32 
"e112-34-334-4-e-": -0.00206883942018, # 0.123672387425 , 1/2 
"ee11-23-e34-e5-555--": -0.000376508372969, # 0.0129904710281 , 1/2 
"ee12-e33-e34-5-555--": 1.35721830108e-05, # 0.01024540004 , 1 
"ee12-e34-e34-55-55--": -0.0050846097494, # 0.297731734494 , 3/4 
"ee12-334-355-e-e55--": 0.00188779541943, # 0.374427514796 , 3/2 
"e123-e23-45-45-e5-e-": 0.167488548373, # 0.167488548373 , 3/2 
"ee12-e33-345-4-55-e-": -0.000603772089645, # 0.350956945987 , 3 
"ee12-e23-e4-455-55--": -0.000243136821626, # 0.0225462714085 , 3/2 
"ee12-e23-34-45-55-e-": -8.05405056707e-06, # 0.289924770914 , 6 
"ee12-334-344-e-e-": -0.00547774129342, # 0.449316869622 , 3/2 
"ee12-334-345-5-e5-e-": -0.0028255453645, # 0.229915516427 , 6 
"e112-34-e34-44--": -0.00107851097835, # 0.117377968367 , 1/4 
"ee12-233-45-44-5-ee-": 0.00117909356301, # 0.337067147132 , 3/4 
"e112-e3-345-45-e5-e-": 0.0401852423954, # 0.265179405099 , 3 
"ee12-e23-44-555-e5--": -0.000475479396851, # 0.0054562617953 , 1 
"e112-e3-e34-45-55-e-": -0.000604025966609, # 0.350955017439 , 6 
"ee12-234-34-e5-55-e-": 0.0154002997559, # 0.248141361547 , 3 
"e123-e45-344-55-5--": 0.000419805427421, # 0.0596982147768 , 1/8 
"ee12-e33-344-4-e-": -0.0067133821598, # 0.48868536382 , 3 
"ee11-22-34-ee5-555--": 0.0126139626551, # 0.0126139626551 , 1/4 
"e112-34-335-5-e55--": 0.000808799775774, # 0.126515684324 , 1/4 
"ee12-233-45-e4-55-e-": -0.00064812750544, # 0.335774793376 , 3 
"e112-23-e4-e55-e55--": 0.00545840033361, # 0.431264005355 , 3 
"e112-33-e45-45-55--": 0.00119490471499, # 0.121369638097 , 1/8 
"ee11-22-34-e45-55-e-": 0.00722404529783, # 0.569828875114 , 3/2 
"e112-34-e35-e4-55-e-": 0.0213680229319, # 0.262289236894 , 3 
"ee11-22-33-ee-": 1.0, # 1.0 , 3/8 
"ee11-23-e44-455-5-e-": 0.0067133821598, # 0.48868536382 , 3/2 
"e112-34-e34-55-55--": -0.00120503642835, # 0.0888300351655 , 1/8 
"ee11-23-e45-e45-55--": -0.00375492713788, # 0.409356046239 , 3/4 
"e112-e3-444-555-5--": -2.18740444746e-05, # -2.18740444746e-05 , 1/72 
"ee12-223-4-e45-55-e-": 0.0018613758359, # 0.400899162347 , 3 
"e123-e24-55-e45-e5--": -0.065023934977, # 0.197784414406 , 3 
"e112-33-444-e4--": -0.000539136822671, # -0.000509982332391 , 1/24 
"ee11-23-444-455--ee-": 0.0126139626551, # 0.0126139626551 , 1/8 
"ee12-334-334--ee-": -0.00754786558904, # 0.487130178081 , 3/8 
"ee11-23-e45-445-5-e-": 0.022391934362, # 0.383792034682 , 3 
"e123-e45-e45-e45-5--": 0.16128227581, # 0.16128227581 , 2 
"ee11-23-e33-e-": 0.218697585092, # 0.781302414908 , 3/2 
"e112-e3-e45-e45-55--": 0.000364624615759, # 0.360985865731 , 3/2 
"e123-234-45-55-e5--": 0.00257162236521, # 0.0580919902678 , 1/2 
"e112-33-445-e5-55--": -3.23125356774e-05, # -0.000804428240235 , 1/16 
"ee11-23-e34-55-e55--": -0.00437701417792, # 0.459171171731 , 3/2 
"ee12-ee3-334-5-555--": -6.06593254055e-05, # -6.06593254055e-05 , 1/4 
"e112-e2-34-e55-e55--": 0.0210909375316, # 0.514912396876 , 3/4 
"e112-e3-333--": 1.45772451396e-05, # 1.45772451396e-05 , 1/12 
"ee12-345-345-e4-5-e-": -0.0709046131012, # 0.191903736282 , 3 
"ee12-e34-355-e4-55--": 0.0139065118138, # 0.291386604945 , 3 
"ee12-e34-345-45-5-e-": -0.0162607926907, # 0.208733370013 , 6 
"ee12-334-355-4-e5-e-": 0.00285453690453, # 0.31552307803 , 3 
"e112-33-e33--": 0.048112059809, # 0.176399918354 , 1/8 
"e123-e23-e3-e-": 0.400685176948, # 0.400685176948 , 1 
"e112-e3-445-455-e-e-": 0.00300593944301, # 0.391199908251 , 3/2 
"ee12-e33-e45-45-55--": 0.00036488076346, # 0.360986536815 , 3/2 
"e123-e23-e4-e5-555--": 0.00395339131436, # 0.00395339131436 , 1 
"e112-33-e44-55-55--": 0.0269168799703, # 0.187775835389 , 1/32 
"e112-23-34-e5-555--": -5.10043871301e-06, # 0.00194989333419 , 1/6 
"e123-e45-334-5-55--": 0.00012964579851, # 0.0819746801396 , 1/8 
"ee12-233-44-45-5-ee-": 0.00117848286455, # 0.337067819883 , 3/8 
"ee11-22-34-e55-e55--": 0.0964388222337, # 0.659043652049 , 3/8 
"ee12-e34-e34-44--": 0.00375492713788, # 0.409356046239 , 3/2 
"ee12-e34-334-4-e-": -0.022391934362, # 0.383792034682 , 6 
"e112-23-45-445-5-e-": 0.0010891776788, # 0.117016950401 , 1/2 
"e123-234-45-45-5-e-": -0.0105357647398, # 0.0497186997627 , 1/2 
"e112-34-e35-45-e5-e-": -0.0487935928754, # 0.214014756508 , 12 
"e112-34-355-e4-55--": 1.24971357921e-05, # 0.0971649773541 , 1/4 
"ee11-22-34-e44-e-": -0.218697585092, # 0.781302414908 , 3/4 
"ee12-e33-e44-55-55--": 0.0391764692566, # 0.514699631079 , 3/8 
"ee11-23-e34-44-e-": -0.00722404529783, # 0.569828875114 , 3 
"ee12-e23-34-55-e55--": -0.000533268147045, # 0.324455584495 , 3 
"e112-33-e34-5-555--": 9.60324086197e-05, # 0.00192607893074 , 1/12 
"e112-e3-e44-555-e5--": 0.00472146589912, # 0.00321796888238 , 1/2 
"ee12-e23-44-e55-55--": -0.00415315062033, # 0.388096296337 , 3/2 
"ee12-e33-444-e4--": -0.00705872983592, # 0.00555523281918 , 1 
"ee12-223-3-ee-": 0.0882953697853, # 0.650900199601 , 3/4 
"e112-23-34-55-e55--": 0.00211578867756, # 0.161601377749 , 1/4 
"ee11-23-334-4-ee-": -0.0882953697853, # 0.650900199601 , 3/4 
"e112-34-e35-e5-e55--": 0.021371084398, # 0.26229229836 , 6 
"e112-e3-344-55-55--": -0.000104452255494, # 0.000311052920262 , 1/16 
"e112-e2-34-e45-55-e-": 0.00157988126123, # 0.44520867621 , 3 
"ee11-22-33-45-e55-e-": 0.218697585092, # 0.781302414908 , 3/8 
"ee12-334-335--e55-e-": 0.00765517053062, # 0.418429286418 , 3/4 
"ee12-e23-34-e5-555--": -7.85480717095e-05, # 0.0101532797852 , 2 
"e112-e2-33-45-e55-e-": 0.0478286337251, # 0.610433463541 , 3/8 
"e123-245-45-445--e-": -0.000173710145866, # 0.0553466577567 , 1/4 
"e112-e3-334-5-e55-e-": 0.0137407901013, # 0.453405821477 , 3/4 
"e112-34-345-45-5-e-": 0.00532140834807, # 0.0770383861381 , 1/2 
"ee12-233-34-4-ee-": -0.00585300381412, # 0.44079770129 , 3/2 
"ee12-223-4-445-5-ee-": 0.01263945305, # 0.447722683683 , 3/8 
"e123-224-5-445-5-e-": 0.000747546919329, # 0.0900892292079 , 1/4 
"e112-33-e44-44--": -0.0349418175132, # 0.184810638711 , 1/16 
"e112-e3-e34-e5-555--": 1.25376424001e-05, # 0.0102443654994 , 1 
"ee12-e34-335-4-55-e-": 3.00068399678e-05, # 0.301265248983 , 3 
"ee11-23-345-45-e5-e-": 0.0880621336637, # 0.312623043284 , 3/2 
"e112-23-44-e55-55--": 0.00781124405367, # 0.179932376683 , 1/8 
"ee12-e23-44-455-5-e-": -0.000646946805404, # 0.335777134554 , 3 
"ee12-e23-45-445-5-e-": 0.00213657055898, # 0.268315015768 , 6 
"e112-e3-e34-44-e-": -0.00671541104351, # 0.488683788299 , 6 
"ee12-e34-345-e5-55--": 0.00859180037566, # 0.25101586583 , 6 
"ee12-223-4-ee5-555--": 0.0023033783939, # 0.00509996804197 , 1/2 
"ee12-e34-335-5-e55--": 0.00285552161204, # 0.315525223216 , 3 
"ee12-ee3-444-555-5--": 0.000571798129125, # 0.000571798129125 , 1/12 
"e123-234-34-4-e-": -0.018030661957, # 0.0738350296305 , 1/6 
"e123-e24-35-45-e5-e-": 0.167406983168, # 0.167406983168 , 12 
"ee11-23-445-455-e-e-": 0.00547774129342, # 0.449316869622 , 3/4 
"e112-33-344-5-55-e-": 0.00576156528911, # 0.178880609174 , 1/16 
"e112-23-44-455-5-e-": 0.00233641499076, # 0.166652516641 , 1/8 
"ee12-223-3-45-e55-e-": 0.0193099841469, # 0.508549897812 , 3/4 
"ee12-ee3-445-455-5--": 0.00215143681322, # 0.0280929707843 , 3/4 
"e112-23-e4-455-e5-e-": 0.000890857731635, # 0.363883200121 , 3 
"e112-23-45-e45-55--": -8.59469809299e-05, # 0.117068158372 , 1/4 
"e112-23-45-e45-e5-e-": 0.000882911664143, # 0.234057226539 , 6 
"e112-34-e33-5-555--": 0.000115952233134, # 0.00194599875526 , 1/24 
"e112-e3-e44-455-5-e-": 0.00545362597173, # 0.431261160728 , 3 
"ee12-e22-e-": -0.218697585092, # 0.781302414908 , 3 
"e112-23-44-555-e5--": 0.000255349980276, # 0.000294033981162 , 1/12 
"e112-33-445-45-5-e-": 0.0017964972783, # 0.130271207278 , 1/4 
"ee12-345-345-ee-55--": -0.00557138120402, # 0.29266341736 , 3/8 
"ee12-334-455-e4-5-e-": 0.000889283047862, # 0.363885229842 , 3/2 
"ee12-e23-34-44-e-": 0.00136244539329, # 0.407546414438 , 6 
"ee11-23-e44-e55-55--": 0.0570798578028, # 0.576143853622 , 3/8 
"e123-e45-345-45-5--": 0.000501225669815, # 0.0433782817434 , 1/4 
"e112-e3-e45-445-5-e-": 0.00711777638839, # 0.334922440039 , 6 
"e112-e3-e33-e-": 0.0964392755959, # 0.659044105412 , 3/2 
"ee11-23-344-55-e5-e-": -0.00437742922139, # 0.459172040137 , 3/4 
"ee12-e23-33-e-": 0.00722404529783, # 0.569828875114 , 6 
"e112-34-e55-e45-e5--": 0.028706026757, # 0.269627240719 , 3/2 
"e112-e3-e34-55-e55--": -0.000680678543877, # 0.397367691522 , 3 
"e112-23-e4-455-55--": -6.22009589012e-05, # 0.002447088399 , 1/4 
"ee12-e23-e4-444--": 0.000376508372969, # 0.0129904710281 , 1 
"ee12-ee3-344-55-55--": 0.000346459948039, # 0.0286137464353 , 3/8 
"ee12-333-345--e55-e-": 0.00275864317111, # 0.00985531948398 , 1/2 
"ee12-e34-355-44-5-e-": -0.000306141918238, # 0.326277418947 , 3 
"ee12-234-35-44-5-ee-": 0.00646388138528, # 0.291105837216 , 3 
"e112-23-34-45-55-e-": 0.0010087226873, # 0.148968788124 , 1/4 
"e123-e23-34-5-555--": -2.95981597213e-05, # 0.00204214163543 , 1/12 
"ee12-e34-334-5-55-e-": 0.00604907752389, # 0.297429149152 , 3 
"ee12-e23-44-e44--": 0.00437701417793, # 0.459171171731 , 3 
"ee12-334-455-e5-e5--": 0.00909426873658, # 0.311907639348 , 3 
"ee12-233-44-e5-55-e-": -0.00415327397982, # 0.388096786427 , 3/2 
"ee12-ee3-333--": 0.0126139626551, # 0.0126139626551 , 1/2 
"ee12-ee3-345-45-55--": -0.000595086806149, # 0.0159240183358 , 3/4 
"e112-34-334-5-55-e-": 0.00201044722668, # 0.126426657479 , 1/8 
"e112-e3-345-45-55--": -1.49629671784e-05, # 0.000131739986595 , 1/8 
"ee11-23-e44-e44--": -0.0964388222337, # 0.659043652049 , 3/4 
"ee12-e33-e44-44--": -0.0570798578028, # 0.576143853622 , 3/4 
"e112-23-33-e-": 0.0225510019543, # 0.172570867633 , 1/4 
"e112-34-e55-445-5--": 0.00118863861932, # 0.121363372001 , 1/16 
"ee12-223-4-e44-e-": -0.0340111885232, # 0.542459335307 , 3/2 
"e112-33-e44-e5-55-e-": 0.0391845939445, # 0.514705075769 , 3/8 
"e112-34-345-e5-e5-e-": -0.0554641970381, # 0.207344152345 , 6 
"e112-e3-334-5-555--": 9.04814220078e-06, # 9.04814220078e-06 , 1/24 
"ee12-223-4-e55-e55--": 0.0182704105254, # 0.470555785075 , 3/4 
"ee12-ee3-344-44--": -0.00319153382602, # 0.0220363914842 , 3/4 
"e123-e23-44-55-55--": -0.00163405790378, # 0.0674833472812 , 1/16 
"ee11-23-e34-45-55-e-": -0.00136244539329, # 0.407546414438 , 3 
"ee12-e23-45-e45-55--": -0.00105295044741, # 0.281618136254 , 3 
"ee11-23-334-4-55-ee-": 0.0882953697853, # 0.650900199601 , 3/16 
"e112-23-e4-e45-55-e-": 0.000891827370883, # 0.36388416976 , 3 
"e123-e23-44-44--": 0.00218568168306, # 0.0829725612701 , 1/8 
"e112-23-34-44-e-": -0.00483548333879, # 0.165859986822 , 1/4 
"ee12-e33-444-55-5-e-": 0.00472125166452, # 0.00321775464779 , 1/2 
"e112-34-e34-e5-55-e-": 0.0182064019693, # 0.259127615932 , 3 
"ee12-234-34-45-5-ee-": 0.021467993831, # 0.246028903451 , 3/4 
}
